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Related to Lorentz factor: length contraction
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for |absolute value of~ v |is less than~ c, where |Gamma~ is again the Lorentz factor |(1 - |v.
where [beta] = v/c and the factor y is the usual Lorentz factor.
The bodies moving in the preferred frame shrink by the Lorentz factor in the direction of their motion; the clocks moving in the preferred frame slow down by the Lorentz factor.